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Finding the Fourth Proportional to 542.43, 748.85 and 376.79

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Solution

The fourth proportional to 542.43, 748.85 and 376.79 is: 520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.43 : 748.85 = 376.79 : x
  2. Step 2: Convert to fraction form
    542.43/748.85 = 376.79/x
  3. Step 3: Cross multiply
    542.43x = 748.85 × 376.79
  4. Step 4: Simplify right side
    542.43x = 282,153.56
  5. Step 5: Solve for x
    x = 282,153.56/542.43
  6. Step 6: Final answer
    x = 520.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.